周期信号参数高精度估计方法与应用
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摘要
给出连续谱峰搜索法高精度估计参数的牛顿迭代法格式。针对频谱的起伏剧烈，用基因算法修正了迭代过程。仿真结果表明，连续谱峰搜索法估计参数的精度远高于传统的ＦＦＴ谱线算法。旋转机械和心音的两个实例都表明连续谱搜峰法的优越性。
In order to estimate periodic signal parameters with high precision during fault diagnosis,the discrete FFT spectrum lines were taken as the sampling points on a continuous spectrum function.An iterative algorithm based on Newton iteration method were presented to determine this function peak parameters from which the periodic signal parameters could be extracted with high precision.Genetics method was also introduced in the scheme to eliminate the difficulty of many vertexes.Simulation result shows the presented method is more precise than current FFT method.Two examples,rotary machinery and heart sound analysis,verify the advantage of the suggested method.
In order to estimate periodic signal parameters with high precision during fault diagnosis,the discrete FFT spectrum lines were taken as the sampling points on a continuous spectrum function.An iterative algorithm based on Newton iteration method were presented to determine this function peak parameters from which the periodic signal parameters could be extracted with high precision.Genetics method was also introduced in the scheme to eliminate the difficulty of many vertexes.Simulation result shows the presented method is more precise than current FFT method.Two examples,rotary machinery and heart sound analysis,verify the advantage of the suggested method.
引文
1 黄 涛.准周期的信号处理方法及其工程应用〔博士学位论文〕.北京:清华大学,1988.
2 王 飞,姜兴渭,董彩凤.周期性信号测量中的相位误差分析.数据采集与处理,1992,7(3):171～176.
3 黄迪山.FFT 相位误差分析及实用修正方法.振动工程学报,1994,7(2):183～189.
4 丁 康 王志杰.离散频谱的幅值相位和频率的校正方法及误差分析.动态分析与测试技术,1996,(1):10～29.
5 Léonard F. Referencing the phase to the centerofthe spectralw in-dow . Why? Mechanical System and Signal Processing. 1997, 11(1):75～90.
6 应怀樵.ZOOM BDFT在提高阻尼估计精度中应用.振动、测试与诊断,1997,17(2):42～46.
7 谢 明, 丁康.频谱分析校正方法.振动工程学报,1994,7(2):172～179.
8 谢 明, 丁康.离散频谱分析的一种新校正方法.重庆大学学报,1995,(2):47～54.
9 丁 康,谢 明.离散频谱三点卷积幅值修正法的误差分析.振动工程学报,1996,9(1):92～98.
10 陈奎孚,高小榕,焦群英.连续富立叶变换快速计算的移频法.地震工程与工程振动, 1998,18(1):156～161.
11 陈奎孚,张森文,高小榕.对称窗函数的幅值谱特性.农业工程学报,1999,15(1):36～40.
12 陈奎孚,焦群英,高小榕.谱峰法的窗函数选择.中国农业大学学报,1997,2(4):21～27
2 王 飞,姜兴渭,董彩凤.周期性信号测量中的相位误差分析.数据采集与处理,1992,7(3):171～176.
3 黄迪山.FFT 相位误差分析及实用修正方法.振动工程学报,1994,7(2):183～189.
4 丁 康 王志杰.离散频谱的幅值相位和频率的校正方法及误差分析.动态分析与测试技术,1996,(1):10～29.
5 Léonard F. Referencing the phase to the centerofthe spectralw in-dow . Why? Mechanical System and Signal Processing. 1997, 11(1):75～90.
6 应怀樵.ZOOM BDFT在提高阻尼估计精度中应用.振动、测试与诊断,1997,17(2):42～46.
7 谢 明, 丁康.频谱分析校正方法.振动工程学报,1994,7(2):172～179.
8 谢 明, 丁康.离散频谱分析的一种新校正方法.重庆大学学报,1995,(2):47～54.
9 丁 康,谢 明.离散频谱三点卷积幅值修正法的误差分析.振动工程学报,1996,9(1):92～98.
10 陈奎孚,高小榕,焦群英.连续富立叶变换快速计算的移频法.地震工程与工程振动, 1998,18(1):156～161.
11 陈奎孚,张森文,高小榕.对称窗函数的幅值谱特性.农业工程学报,1999,15(1):36～40.
12 陈奎孚,焦群英,高小榕.谱峰法的窗函数选择.中国农业大学学报,1997,2(4):21～27
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